Every Complex Geometry Shape Explained

Geometry isn’t just about simple shapes. There are some incredibly complex ones out there! So let's break down fascinating geometriy shapes like the Mandelbrot set, Tesseract, and Klein bottles, explaining their unique properties and how they exist in both theory and the real world.

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Playlists:

Timestamps:
0:00 Sierpiński triangle
1:53 Tesseract
3:18 Klein bottle
5:01 Mandelbrot set
7:20 Weierstrass function
9:34 Seifert surface

— DISCLAIMER —

This video is intended for entertainment and educational purposes only. It should not be your sole source of information. Some details may be oversimplified or inaccurate. My goal is to spark your curiosity and encourage you to conduct your own research on these topics.

#geometry #shapes #complexgeometry

[ThoughtThrill]

Let me know if there's a topic you'd like me to cover next. 😊

[soulsofspirit]

5:30 Literally the best explanation of a function. It takes a number, does a bunch of stuff to it, and spits out an answer.

[davidhopkins]

Mathematician: Yay! I proved it!
Weierstrauss: No you didn't.

[minirop]

In "Benoit B. Mandelbrot, the B. stands for Benoit B. Mandelbrot"

[jerometeor]

I can't help but be amazed at how original the ideas of German mathematicians from 19-20th centuries were.

[HermesKhadivar-nl]

11:34 now watch the video again and take a shot every time he says "german mathematician"

[scarletevans]

1:15 Dude, WTF! I think I checked like few times in past what this fractional dimension thing is and I never really grasped it, but the way you explained it is so simple!! Just consider the way it scales and you get the dimensionality! Thank you! ♥

[bakingandcookingclubbymoon]

0:11 IS THAT THE LEGEND OF- nvm it's math

[RishwanaHoque]

i cant decide if my life is really good or pitiful based off of the fact that im watching a video explaining mathematical concepts that aren't in my syllabus-

[shaquille]

1:32 The logarithmic notation of the emoji 😅to base 😄 is some next level genius explanation. Now, I'll never use the emoji without thinking about logarithms

[UnderGeorge]

I didn't understand any of this but it was really fun to watch regardless

[Tayhay]

thought this has way more views, just realized its below 1k, awesome quality

[LearnWithPaint]

The explanations of fractals like the Serinsky Triangle and the concept of fractal dimension blew my mind. It's amazing how mathematics can turn seemingly simple objects into something so intricate and beautiful, especially with fractals like the Mandelbrot set. Awesome content!

[noonesknight]

when your youtube feed is so cooked that you watch "every geometric shape explained"

[MadScientyst]

Brilliant exposition indeed!
As a Math Lecturer the content is invaluable, worthy of subscription!

Many thanks for highlighting the beauty of Seifert Surfaces, which hardly get due recognition.
Now whilst not entirely geometric (Differential Geom., Chaos Theory, Complex Anaysis, etc), I'd suggest:

*Polytopes (link to Crystallography)
*4D Fractals
*Riemann Surfaces
*Hilbert Curves
*Lie Groups
*Conformal Mappings
*Bifurcation Maps
*Kusudama Origami (yes it's paper-folding, but Math knowledge helps immensely)

...To be included from an advanced study point of view & also to expose the sheer beauty of Mathematics...IMO 🤔

[AustinTheWeenieTickler]

i have absolutely no idea what this video just said but i love it

[emmanuelsimaurio]

The Legend of Zelda fans on the first one: ITS THE TRIFORCE

[Dijk]

2:04 I didn't pay attention to your explanation and a reward google ad pops up. The transition was smooth.

[tinginingcodm]

Normal Humans: Sierpinski Triangle, cool!
Also Normal Humans: Squid Game?

[zolv]

00:00 Sierpiński triangle is not defined the way it's presented. It's defined as connecting middle points creating an internatl triangle.
You even do this in 00:17 . If you want to be consistent, your triangle shouldn't be "divided" but rescaled and multiplied as previously in the video.